neumann-laplace.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
size_t d;
Float f (const point& x) { return 1; }
Float g (const point& x) { return -0.5/d; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
d = omega.dimension();
space Xh (omega, argv[2]);
trial u (Xh); test v (Xh);
form a = integrate (dot(grad(u),grad(v)));
field b = integrate(v);
field lh = integrate (f*v) + integrate ("boundary", g*v);
form A = {{ a, b},
{ trans(b), 0}};
field Bh = { lh, 0};
field Uh (Bh.get_space(), 0);
A.set_symmetry(true);
problem p (A);
p.solve (Bh, Uh);
dout << Uh[0];
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
point
see the point page for the full documentation
problem
see the problem page for the full documentation
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.a
int a
Definition: mkgeo_ball.sh:151
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
d
size_t d
Definition: neumann-laplace.cc:28
main
int main(int argc, char **argv)
Definition: neumann-laplace.cc:31
f
Float f(const point &x)
Definition: neumann-laplace.cc:29
g
Float g(const point &x)
Definition: neumann-laplace.cc:30
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
f
Definition: cavity_dg.h:29
g
Definition: cavity_dg.h:25
p
Definition: sphere.icc:25
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26